Scalar tidal response of static and rotating black holes in anti-de Sitter spacetime

TL;DR

This paper studies how static and rotating black holes in anti-de Sitter spacetime respond to scalar field perturbations, revealing that their tidal Love numbers are always nonzero due to the cosmological constant, with some conditions leading to zero tidal dissipation.

Contribution

It provides the first detailed analysis of tidal responses of various black holes in anti-de Sitter spacetime, highlighting the nonvanishing Love numbers and conditions for tidal dissipation.

Findings

Tidal Love numbers are always nonzero for these black holes.

Tidal dissipation can vanish depending on scalar frequency and black hole parameters.

Different scalar fields perturb different black hole types.

Abstract

In this work, we investigate the tidal response of both static and rotating black holes in anti de-Sitter spacetime. We perform the neutral scalar field perturbation for Schwarzschild and Kerr black holes. On the other hand, charged scalar field are used for perturbing Reissner-Nordstrom and Kerr-Newman black holes. We find that the tidal Love number for all black holes are always nonvanishing due to the presence of cosmological constant. In contrast, tidal dissipation can vanish for certain conditions depending on the scalar field's frequency and the black hole's parameters.